We decided to head back to the Bellevue shelter regardless that we've been here the last two days and we looked at two different animals, Tina, a beagle mixed with terrier maybe, and Barney, a dashund.  Tina has a good personality, very playful, and a tad big for the kids when she's on her hind legs.  We were worried about that primarily, because the kids seemed to be frightened of her.  Barney was more easy going, but she was a Dashund and I guess I had some kind of biased, in that a pet should never, by default, look ridiculous.  No disportionate body parts for me, thank you very much.  

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I'm just gonna skip right ahead to the results, since I don't want to write as if it were just happening, since it has already been a day.  We ended up getting "Tina", the terrier even though the kids preferred the Dashund.  Tina actually scared the kids a little because on her hind legs, she posed a big licking threat.  Ultimately it came down to this, we needed a dog that would outlive the current novelty of having a small dog.  Right now a small dog is good, but when the kids are older, they would be stuck with a dog that can't run fast, jump much, and would be mortally wounded by a frisbee.  We needed a dog that the adults would like because it's not a kids plaything, it's a family pet that the parents would be primarily responsible for.  So we went for the terrier.  Shortly after we left the shelter with her, it was already decided that her name would be Daisy.  It didn't even take a few years, but later in the evening as the kids are running with the dog, I knew we had made the right choice.